EP 3033689 A4 20170524 - A PENALTY METHOD FOR PDE-CONSTRAINED OPTIMIZATION
Title (en)
A PENALTY METHOD FOR PDE-CONSTRAINED OPTIMIZATION
Title (de)
BESTRAFUNGSVERFAHREN FÜR PDE-EINGESCHRÄNKTE OPTIMIERUNG
Title (fr)
PROCÉDÉ DE PÉNALITÉ POUR OPTIMISATION SOUS CONTRAINTE D'EDP
Publication
Application
Priority
- US 201361815533 P 20130424
- CA 2014000386 W 20140423
Abstract (en)
[origin: WO2014172787A1] The invention is directed to a computer-implemented method for obtaining a physical model having physical model parameters wherein solutions to one or more partial-differential-equations (PDE's) are calculated and wherein (i) an appropriate initial model is selected, (ii) setup a system of equations referred to as the data-augmented PDE for the field, comprising of the discretized PDE, the sampling operator, the source function and the observed data, and solve the data-augmented PDE in a suitable manner to obtain a field that both satisfies the PDE and fits the data to some degree, (iii) setup a system of equations by using the PDE, the source function and the field obtained in step (ii) and solve this system of equations in a suitable manner to obtain an update of the physical model parameters and repeat steps (ii)-(iii) until a predetermined stopping criterion is met.
IPC 8 full level
G06F 17/13 (2006.01); G01N 37/00 (2006.01); G01S 13/89 (2006.01); G01V 99/00 (2009.01)
CPC (source: EP US)
G01V 20/00 (2024.01 - EP US); G06F 17/13 (2013.01 - EP US)
Citation (search report)
- [A] WO 2013012470 A1 20130124 - EXXONMOBIL UPSTREAM RES CO [US], et al
- [XAI] GASSAN S ABDOULAEV ET AL: "Optical tomography as a PDE-constrained optimization problem; Optical tomography as a PDE-constrained optimization problem", INVERSE PROBLEMS, INSTITUTE OF PHYSICS PUBLISHING, BRISTOL, GB, vol. 21, no. 5, 1 October 2005 (2005-10-01), pages 1507 - 1530, XP020086302, ISSN: 0266-5611, DOI: 10.1088/0266-5611/21/5/002
- [AD] E HARBER: "Preconditioned all-at-once methods for large, sparse parameter estimation problems", INVERSE PROBLEMS, vol. 17, no. 6, 15 November 2001 (2001-11-15), pages 1847 - 1864, XP055294097
- [XP] T. VAN LEEUWEN ET AL: "Mitigating local minima in full-waveform inversion by expanding the search space", GEOPHYSICAL JOURNAL INTERNATIONAL., vol. 195, no. 1, 30 July 2013 (2013-07-30), GB, pages 661 - 667, XP055364425, ISSN: 0956-540X, DOI: 10.1093/gji/ggt258
- See references of WO 2014172787A1
Designated contracting state (EPC)
AL AT BE BG CH CY CZ DE DK EE ES FI FR GB GR HR HU IE IS IT LI LT LU LV MC MK MT NL NO PL PT RO RS SE SI SK SM TR
DOCDB simple family (publication)
WO 2014172787 A1 20141030; EP 3033689 A1 20160622; EP 3033689 A4 20170524; EP 3033689 B1 20210915; US 2016070023 A1 20160310
DOCDB simple family (application)
CA 2014000386 W 20140423; EP 14789086 A 20140423; US 201414786146 A 20140423